echo / code /flash-linear-attention /fla /ops /rwkv7 /fused_recurrent.py
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# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang
import warnings
import torch
import triton
import triton.language as tl
from fla.ops.generalized_delta_rule import fused_recurrent_dplr_delta_rule
from fla.ops.utils.op import exp
from fla.utils import autotune_cache_kwargs, input_guard, use_cuda_graph
@triton.heuristics({
'USE_INITIAL_STATE': lambda args: args['h0'] is not None,
'STORE_FINAL_STATE': lambda args: args['ht'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@triton.autotune(
configs=[
triton.Config({'BV': BV}, num_warps=num_warps, num_stages=num_stages)
for BV in [16, 32, 64]
for num_warps in [2, 4, 8, 16]
for num_stages in [2, 3, 4]
],
key=['BK'],
use_cuda_graph=use_cuda_graph,
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def fused_recurrent_rwkv7_fwd_kernel(
r,
w,
k,
v,
kk,
a,
o,
h0,
ht,
cu_seqlens,
scale,
T,
B: tl.constexpr,
H: tl.constexpr,
K: tl.constexpr,
V: tl.constexpr,
BK: tl.constexpr,
BV: tl.constexpr,
REVERSE: tl.constexpr,
USE_INITIAL_STATE: tl.constexpr,
STORE_FINAL_STATE: tl.constexpr,
IS_VARLEN: tl.constexpr,
IS_DECODE: tl.constexpr,
):
i_v, i_nh = tl.program_id(0).to(tl.int64), tl.program_id(1).to(tl.int64)
i_n, i_h = i_nh // H, i_nh % H
if IS_VARLEN:
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int64), tl.load(cu_seqlens + i_n + 1).to(tl.int64)
T = eos - bos
else:
bos, eos = i_n * T, i_n * T + T
o_k = tl.arange(0, BK)
o_v = i_v * BV + tl.arange(0, BV)
p_r = r + (bos + ((T - 1) if REVERSE else 0)) * H*K + i_h * K + o_k
p_w = w + (bos + ((T - 1) if REVERSE else 0)) * H*K + i_h * K + o_k
p_k = k + (bos + ((T - 1) if REVERSE else 0)) * H*K + i_h * K + o_k
p_v = v + (bos + ((T - 1) if REVERSE else 0)) * H*V + i_h * V + o_v
p_a = a + (bos + ((T - 1) if REVERSE else 0)) * H*K + i_h * K + o_k
p_kk = kk + (bos + ((T - 1) if REVERSE else 0)) * H*K + i_h * K + o_k
p_o = o + (bos + ((T - 1) if REVERSE else 0)) * H*V + i_h * V + o_v
mask_k = o_k < K
mask_v = o_v < V
mask_h = mask_k[:, None] & mask_v[None, :]
b_h = tl.zeros([BK, BV], dtype=tl.float32)
if USE_INITIAL_STATE:
p_h0 = h0 + i_nh * K*V + o_k[:, None] * V + o_v
b_h += tl.load(p_h0, mask=mask_h, other=0).to(tl.float32)
if IS_DECODE:
b_r = tl.load(p_r, mask=mask_k, other=0).to(tl.float32) * scale
b_w = tl.load(p_w, mask=mask_k, other=0).to(tl.float32)
b_k = tl.load(p_k, mask=mask_k, other=0).to(tl.float32)
b_v = tl.load(p_v, mask=mask_v, other=0).to(tl.float32)
b_a = tl.load(p_a, mask=mask_k, other=0).to(tl.float32)
b_kk = tl.load(p_kk, mask=mask_k, other=0).to(tl.float32)
b_act_a = -b_kk
b_b = b_kk * b_a
b_h = exp(b_w)[:, None] * b_h + b_b[:, None] * tl.sum(b_act_a[:, None] * b_h, 0)[None, :]
b_h += b_k[:, None] * b_v[None, :]
b_o = tl.sum(b_h * b_r[:, None], 0)
tl.store(p_o, b_o.to(p_o.dtype.element_ty), mask=mask_v)
else:
for _ in range(0, T):
b_r = tl.load(p_r, mask=mask_k, other=0).to(tl.float32) * scale
b_w = tl.load(p_w, mask=mask_k, other=0).to(tl.float32)
b_k = tl.load(p_k, mask=mask_k, other=0).to(tl.float32)
b_v = tl.load(p_v, mask=mask_v, other=0).to(tl.float32)
b_a = tl.load(p_a, mask=mask_k, other=0).to(tl.float32)
b_kk = tl.load(p_kk, mask=mask_k, other=0).to(tl.float32)
b_act_a = -b_kk
b_b = b_kk * b_a
b_h = exp(b_w)[:, None] * b_h + b_b[:, None] * tl.sum(b_act_a[:, None] * b_h, 0)[None, :]
b_h += b_k[:, None] * b_v[None, :]
b_o = tl.sum(b_h * b_r[:, None], 0)
tl.store(p_o, b_o.to(p_o.dtype.element_ty), mask=mask_v)
p_r += (-1 if REVERSE else 1) * H*K
p_w += (-1 if REVERSE else 1) * H*K
p_k += (-1 if REVERSE else 1) * H*K
p_v += (-1 if REVERSE else 1) * H*V
p_a += (-1 if REVERSE else 1) * H*K
p_kk += (-1 if REVERSE else 1) * H*K
p_o += (-1 if REVERSE else 1) * H*V
if STORE_FINAL_STATE:
p_ht = ht + i_nh * K*V + o_k[:, None] * V + o_v
tl.store(p_ht, b_h.to(p_ht.dtype.element_ty), mask=mask_h)
@input_guard
def fused_recurrent_rwkv7_fwd(
r: torch.Tensor,
w: torch.Tensor,
k: torch.Tensor,
v: torch.Tensor,
kk: torch.Tensor,
a: torch.Tensor,
scale: float | None = 1.0,
initial_state: torch.Tensor | None = None,
output_final_state: bool = False,
reverse: bool = False,
cu_seqlens: torch.LongTensor | None = None,
):
B, T, H, K, V = *k.shape, v.shape[-1]
N = B if cu_seqlens is None else len(cu_seqlens) - 1
BK = triton.next_power_of_2(K)
IS_DECODE = (T == 1)
h0 = initial_state
if not output_final_state:
ht = None
else:
ht = r.new_empty(N, H, K, V, dtype=torch.float32)
o = torch.empty_like(v)
def grid(meta): return (triton.cdiv(V, meta['BV']), N * H)
fused_recurrent_rwkv7_fwd_kernel[grid](
r,
w,
k,
v,
kk,
a,
o,
h0,
ht,
cu_seqlens,
scale,
T=T,
B=B,
H=H,
K=K,
V=V,
BK=BK,
REVERSE=reverse,
IS_DECODE=IS_DECODE,
)
return o, ht
def fused_recurrent_rwkv7(
r: torch.Tensor,
w: torch.Tensor,
k: torch.Tensor,
v: torch.Tensor,
a: torch.Tensor,
b: torch.Tensor,
scale: float | None = None,
initial_state: torch.Tensor = None,
output_final_state: bool = True,
cu_seqlens: torch.LongTensor | None = None,
head_first: bool = False,
):
"""
Args:
r (torch.Tensor):
r of shape `[B, T, H, K]`.
w (torch.Tensor):
log decay of shape `[B, T, H, K]`.
k (torch.Tensor):
k of shape `[B, T, H, K]`.
v (torch.Tensor):
v of shape `[B, T, H, V]`.
a (torch.Tensor):
a of shape `[B, T, H, K]`.
b (torch.Tensor):
b of shape `[B, T, H, K]`.
scale (float):
scale of the attention.
If not provided, it will default to `1 / sqrt(K)`. Default: `None`.
initial_state (torch.Tensor):
initial state of shape `[B, H, K, V]` if cu_seqlens is None else `[N, H, K, V]` where N = len(cu_seqlens) - 1.
output_final_state (bool):
whether to output the final state.
cu_seqlens (torch.LongTensor):
Cumulative sequence lengths of shape `[N+1]` used for variable-length training,
consistent with the FlashAttention API.
head_first (Optional[bool]):
Whether the inputs are in the head-first format. Default: `False`.
This argument has been deprecated.
"""
if head_first:
raise DeprecationWarning(
"head_first is deprecated and will be removed in a future version. "
"Please use head_first=False for now instead.",
)
elif r.shape[1] < r.shape[2]:
warnings.warn(
f"Input tensor shape suggests potential format mismatch: seq_len ({r.shape[1]}) < num_heads ({r.shape[2]}). "
"This may indicate the inputs were passed in head-first format [B, H, T, ...] "
"when head_first=False was specified. "
"Please verify your input tensor format matches the expected shape [B, T, H, ...].",
)
return fused_recurrent_dplr_delta_rule(
q=r,
k=k,
v=v,
a=a,
b=b,
gk=w,
scale=scale,
initial_state=initial_state,
output_final_state=output_final_state,
cu_seqlens=cu_seqlens,
)
def fused_mul_recurrent_rwkv7(
r: torch.Tensor,
w: torch.Tensor,
k: torch.Tensor,
v: torch.Tensor,
kk: torch.Tensor,
a: torch.Tensor,
scale: float | None = 1.0,
initial_state: torch.Tensor | None = None,
output_final_state: bool = False,
reverse: bool = False,
cu_seqlens: torch.Tensor | None = None,
head_first: bool = False,
) -> tuple[torch.Tensor, torch.Tensor]:
r"""
This function computes the recurrence S_t = S_t @ (I + a_t b_t^T) + v_t k_t^T in a recurrent manner.
Args:
r (torch.Tensor):
queries of shape `[B, T, H, K]`.
w (torch.Tensor):
keys of shape `[B, T, H, K]`.
k (torch.Tensor):
values of shape `[B, T, H, V]`.
v (torch.Tensor):
a of shape `[B, T, H, K]`.
kk (torch.Tensor):
b of shape `[B, T, H, K]`.
a (torch.Tensor):
gk of shape `[B, T, H, K]`. decay term in log space!
scale (Optional[float]):
Scale factor for the RetNet attention scores.
If not provided, it will default to `1 / sqrt(K)`. Default: 1.
initial_state (Optional[torch.Tensor]):
Initial state of shape `[N, H, K, V]` for `N` input sequences.
For equal-length input sequences, `N` equals the batch size `B`.
Default: `None`.
output_final_state (Optional[bool]):
Whether to output the final state of shape `[N, H, K, V]`. Default: `False`.
reverse (Optional[bool]):
If `True`, process the state passing in reverse order. Default: `False`.
cu_seqlens (Optional[torch.Tensor]):
Cumulative sequence lengths of shape `[N + 1]` used for variable-length training,
consistent with the FlashAttention API.
head_first (Optional[bool]):
Whether the inputs are in the head-first format. Default: `False`.
This argument has been deprecated.
"""
if head_first:
raise DeprecationWarning(
"head_first is deprecated and will be removed in a future version. "
"Please use head_first=False for now instead.",
)
elif r.shape[1] < r.shape[2]:
warnings.warn(
f"Input tensor shape suggests potential format mismatch: seq_len ({r.shape[1]}) < num_heads ({r.shape[2]}). "
"This may indicate the inputs were passed in head-first format [B, H, T, ...] "
"when head_first=False was specified. "
"Please verify your input tensor format matches the expected shape [B, T, H, ...].",
)
if cu_seqlens is not None:
if r.shape[0] != 1:
raise ValueError(
f"The batch size is expected to be 1 rather than {r.shape[0]} when using `cu_seqlens`."
f"Please flatten variable-length inputs before processing.",
)
if initial_state is not None and initial_state.shape[0] != len(cu_seqlens) - 1:
raise ValueError(
f"The number of initial states is expected to be equal to the number of input sequences, "
f"i.e., {len(cu_seqlens) - 1} rather than {initial_state.shape[0]}.",
)
if scale is None:
scale = r.shape[-1] ** -0.5
o, final_state = fused_recurrent_rwkv7_fwd(
r,
w,
k,
v,
kk,
a,
scale,
initial_state,
output_final_state,
reverse,
cu_seqlens,
)
return o, final_state